Extensions 1→N→G→Q→1 with N=C₂²×S₃ and Q=D₅

Direct product G=N×Q with N=C₂²×S₃ and Q=D₅

		d	ρ	Label	ID
C₂²×S₃×D₅		60		C2^2xS3xD5	240,202

Semidirect products G=N:Q with N=C₂²×S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃)⋊₁D₅ = C₂×C₁₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3):1D5	240,145
(C₂²×S₃)⋊₂D₅ = C₂×C₅⋊D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3):2D5	240,147
(C₂²×S₃)⋊₃D₅ = S₃×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×S₃	60	4	(C2^2xS3):3D5	240,150

Non-split extensions G=N.Q with N=C₂²×S₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×S₃).D₅ = D₆⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×S₃	120		(C2^2xS3).D5	240,27
(C₂²×S₃).₂D₅ = C₂×S₃×Dic₅	φ: trivial image	120		(C2^2xS3).2D5	240,142

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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=D5